Solve 3x^2-13x-10/3x-15*4x-4/3x^2-x-2

$$\frac { 3 x ^ { 2 } - 13 x - 10 } { 3 x - 15 } \times \frac { 4 x - 4 } { 3 x ^ { 2 } - x - 2 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Short Solution Steps

Factor the expressions that are not already factored in \frac{3x^{2}-13x-10}{3x-15}.

$$\frac{\left(x-5\right)\left(3x+2\right)}{3\left(x-5\right)}\times \frac{4x-4}{3x^{2}-x-2}$$

Cancel out x-5 in both numerator and denominator.

$$\frac{3x+2}{3}\times \frac{4x-4}{3x^{2}-x-2}$$

Factor the expressions that are not already factored in \frac{4x-4}{3x^{2}-x-2}.

$$\frac{3x+2}{3}\times \frac{4\left(x-1\right)}{\left(x-1\right)\left(3x+2\right)}$$

Cancel out x-1 in both numerator and denominator.

$$\frac{3x+2}{3}\times \frac{4}{3x+2}$$

Multiply \frac{3x+2}{3} times \frac{4}{3x+2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\left(3x+2\right)\times 4}{3\left(3x+2\right)}$$

Cancel out 3x+2 in both numerator and denominator.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$